Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-05-26
Physics
Condensed Matter
Statistical Mechanics
17 pages, 4 figures
Scientific paper
The rate equation for an arbitrary mth order growth or decay reaction can be expressed in terms of the q-exponential function, with q equal to m. The analysis suggests that a wide variety of reaction rate (kinetic) processes and models, in chemistry, biology/ecology, unit operations and contaminant transport, are amenable to analysis by Tsallis' non-extensive statistical mechanics. A number of q-analogues of common kinetic mathematical models are proposed, and illustrated by several examples.
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